Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 428, 557, 92, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 557, 92, 565 is 1
GCD(428, 557, 92, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 557, 92, 565 is 1
GCD(428, 557, 92, 565) = 1
Given Input numbers are 428, 557, 92, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 428, 557, 92, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 557, 92, 565 is 1.
Therefore, GCD of numbers 428, 557, 92, 565 is 1
Given Input Data is 428, 557, 92, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 557 is 557
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 565 is 5 x 113
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(428, 557) = 238396
GCD(428, 557) = ( 428 x 557 ) / 238396
GCD(428, 557) = 238396 / 238396
GCD(428, 557) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 428, 557, 92, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 557, 92, 565?
GCD of 428, 557, 92, 565 is 1
2. Where do I get the detailed procedure to find GCD of 428, 557, 92, 565?
You can find a detailed procedure to find GCD of 428, 557, 92, 565 on our page.
3. How to find GCD of 428, 557, 92, 565 on a calculator?
You can find the GCD of 428, 557, 92, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.